Physics News
Summer 2012 Olympics
(1:09 – 1:19)
At the most recent Olympics, the
London Summer 2012 Olympics, China took home the gold in the men’s synchronized
3 meter diving. The pair that took home
the gold was Luo Yontong and Qin Kai. Examining just one of the divers out of
this pair, what would be his torque about the front support of the diving board
if he were standing at the end? What is one diver’s angular speed in the
straight position?
·
Calculate Torque
Qin’s Mass: 64 kg
Assumptions: 3-meter diving board
has post (B) and another support post (A) 1.0 m out.
τ = Fr = (64kg)(9.8m/s2)(3.0m) = 1,881.6 mN = 1.9 x 103 mN
·
Angular speed in straight position?
Assumptions:
Moment of Inertia is reduced about 3.5 times when changing
from straight position to tuck position
Rotations completed: 4.5
Rotations in tuck position: 4
Time to complete rotations: 2.0 seconds
I1w1 = I2w2
W2 = w1(I1/I2)
= 4 rev x
1 = 0.571 rad/s = .6 rad/s
2.0 sec 3.5
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